Question

Solve the system of equations x −2y =0, 2x + y =5

by Gauss elimination method. ​

Answer 1

Explanation:

x -2y=0

2x +y= 5

step hsbhsbshvshshshshhs

Answer 2

The system of equations $x-2y =0, 2x + y =5$ by the Gauss elimination method is $x=2,y=1$.

Step-by-step explanation:

Given:

The given equations are;

$x-2y =0$

$2x + y =5$

To find:

To solve the system of given equations by the Gauss elimination method.

Solution:

Step1:

Multiply a coefficient to either side of the equation.

$2(x-2y) =0\times 2$

$2x + y =5$

Apply multiplicative distribution law:

$2x-4y =0\times 2$

$2x + y =5$

Now apply Zero property multiplication:

$2x-4y=0$

$2x+y=5$

Step 2:

Subtract the two equations: $2x-4y-(2x+y)=-5$

Now remove the parentheses $2x-4y-2x-y=-5$

$-4-y=-5$

$4y+y=5$

$5y=5$

$y=1$

Substitute one unknown quality into the elimination

$2x-4=0$

Reduce the greatest common factor on both sides of the equation:

$x-2=0$

$x=2$

Hence, the system of the given equations by the Gauss elimination method is $x=2,y=1$

#SPJ2